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discrepancy principle for Tikhonov regularization in Banach spaces

Name: discrepancy principle for Tikhonov regularization in Banach spaces
Brand: Sudwestdeutscher Verlag Fur Hochschulschriften AG
SKU: 06860620
Price: 54.29 EUR
Availability: InStock
Author: Stephan W. Anzengruber
ISBN: 9783838131351

Stephan W. Anzengruber

Lingua

Inglese

Libro In brossura

Codice Libristo: 06860620

Casa editrice Sudwestdeutscher Verlag Fur Hochschulschriften AG, aprile 2012

This book is about inverse problems. A classical example of such an inverse problem is computerized... Descrizione completa

Codice Libristo: 06860620

133 b

54.29 €

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This book is about inverse problems. A classical example of such an inverse problem is computerized tomography (CT), where one attempts to recover an image of, say, the human brain from measured x-ray intensities. Such measurements will in general be noisy, but even very little noise can have a severe impact on the quality of the reconstructed images. To overcome these difficulties regularization methods have been developed, which stabilize the reconstruction process. We study here one such method, known as Tikhonov-regularization, and prove general regularizing properties as well as rates on the speed of the convergence.